Table P-X
Points of Johnson Triangle.
Points available at the Kimberling's Encyclopedia ETC.
The ETC version: The 8998 points version of 2015.
The "Discoverer" database version: October 2013.
Last update: 2016-04-13

      Role     Kimberling Notation  
  1     X(1) Incenter of the Johnson Triangle     X(355)   Center of the Fuhrmann Circle  
  2     X(2) Centroid of the Johnson Triangle     X(381)   Center of the Orthocentroidal Circle  
  3     X(3) Circumcenter of the Johnson Triangle     X(4)   Orthocenter  
  4     X(4) Orthocenter of the Johnson Triangle     X(3)   Circumcenter  
  5     X(5) Nine-Point Center of the Johnson Triangle     X(5)   Nine-Point Center  
  6     X(6) Symmedian Point of the Johnson Triangle     X(1352)    
  7     X(7) Gergonne Point of the Johnson Triangle     X(5779)    
  8     X(8) Nagel Point of the Johnson Triangle     X(1482)    
  9     X(9) Mittenpunkt of the Johnson Triangle     X(5805)    
  10     X(10) Spieker Center of the Johnson Triangle     X(946)    
  11     X(11) Feuerbach Point of the Johnson Triangle     X(119)    
  12     X(13) Outer Fermat Point of the Johnson Triangle     X(5617)    
  13     X(14) Inner Fermat Point of the Johnson Triangle     X(5613)    
  14     X(20) de Longchamps Point of the Johnson Triangle     X(382)    
  15     X(23) Far-Out Point of the Johnson Triangle     X(7574)    
  16     X(39) Brocard Midpoint of the Johnson Triangle     X(6248)    
  17     X(51) Centroid of the Orthic Triangle of the Johnson Triangle     X(5891)    
  18     X(52) Orthocenter of the Orthic Triangle of the Johnson Triangle     X(5562)    
  19     X(54) Kosnita Point of the Johnson Triangle     X(6288)    
  20     X(64) Isogonal Conjugate of the de Longchamps Point of the Johnson Triangle     X(5878)    
  21     X(65) Orthocenter of the Intouch Triangle of the Johnson Triangle     X(5887)    
  22     X(68) Prasolov Point of the Johnson Triangle     X(155)   Orthocenter of the Tangential Triangle  
  23     X(69) Retrocenter of the Johnson Triangle     X(1351)    
  24     X(74) Ceva Product of the First Isodynamic Point and the Second Isodynamic Point of the Johnson Triangle     X(7728)    
  25     X(76) Third Brocard Point of the Johnson Triangle     X(3095)    
  26     X(79) Perspector of Triangle ABC and Triangle of Reflections of the Incenter in the Sidelines of Triangle ABC of the Johnson Triangle     X(3652)    
  27     X(80) Reflection of the Incenter in the Feuerbach Point of the Johnson Triangle     X(6265)    
  28     X(83) Isogonal Conjugate of the Brocard Midpoint of the Johnson Triangle     X(6287)    
  29     X(84) Perspector of Triangle ABC and the Hexyl Triangle of the Johnson Triangle     X(6259)    
  30     X(98) Tarry Point of the Johnson Triangle     X(6033)    
  31     X(99) Steiner Point of the Johnson Triangle     X(6321)    
  32     X(110) Euler Reflection Point of the Johnson Triangle     X(265)    
  33     X(113) Jerabek Antipode of the Johnson Triangle     X(125)   Center of the Jerabek Hyperbola  
  34     X(114) Kiepert Antipode of the Johnson Triangle     X(115)   Kiepert Center  
  35     X(115) Kiepert Center of the Johnson Triangle     X(114)   Complement of the X(98),Tarry Point  
  36     X(116) of the Johnson Triangle     X(118)    
  37     X(117) of the Johnson Triangle     X(124)    
  38     X(118) of the Johnson Triangle     X(116)    
  39     X(119) of the Johnson Triangle     X(11)   Feuerbach Point  
  40     X(120) of the Johnson Triangle     X(5511)    
  41     X(121) of the Johnson Triangle     X(5510)    
  42     X(122) of the Johnson Triangle     X(133)    
  43     X(124) of the Johnson Triangle     X(117)    
  44     X(125) Center of the Jerabek Hyperbola of the Johnson Triangle     X(113)   Complement of the X(74),Ceva Product of the First Isodynamic Point and the Second Isodynamic Point  
  45     X(182) Center of the Brocard Circle of the Johnson Triangle     X(3818)    
  46     X(355) Center of the Fuhrmann Circle of the Johnson Triangle     X(1)   Incenter  
  47     X(381) Center of the Orthocentroidal Circle of the Johnson Triangle     X(2)   Centroid  
  48     X(389) Center of the Taylor Circle of the Johnson Triangle     X(5907)    
  49     X(399) Parry Reflection Point of the Johnson Triangle     X(3448)    
  50     X(485) Outer Vecten Point of the Johnson Triangle     X(6289)    
  51     X(486) Inner Vecten Point of the Johnson Triangle     X(6290)